Expansive Homeomorphisms on non-Hausdorff Spaces
General Topology
2015-09-17 v1
Abstract
We study expansive dynamical systems from the viewpoint of general topology. We introduce the notions of orbit and refinement expansivity on topological spaces extending expansivity in the compact metric setting. Examples are given on non-Hausdorff compact spaces. Topological properties are studied in relation to separability axioms, metrizability and uniform expansivity.
Cite
@article{arxiv.1509.05018,
title = {Expansive Homeomorphisms on non-Hausdorff Spaces},
author = {Mauricio Achigar and Alfonso Artigue and Ignacio Monteverde},
journal= {arXiv preprint arXiv:1509.05018},
year = {2015}
}